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196343902440 = 2332571710344497
BaseRepresentation
bin1011011011011100000…
…0100011000011101000
3200202210112200200111200
42312313000203003220
511204103014334230
6230111003124200
720120404430310
oct2666700430350
9622715620450
10196343902440
11762a6017a74
1232077213660
1315690a2a43a
1497086cc440
1551924d1160
hex2db70230e8

196343902440 has 384 divisors, whose sum is σ = 779690396160. Its totient is φ = 41827663872.

The previous prime is 196343902421. The next prime is 196343902487. The reversal of 196343902440 is 44209343691.

196343902440 is a `hidden beast` number, since 1 + 9 + 634 + 3 + 9 + 0 + 2 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4390272 + ... + 4434768.

It is an arithmetic number, because the mean of its divisors is an integer number (2030443740).

Almost surely, 2196343902440 is an apocalyptic number.

196343902440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196343902440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389845198080).

196343902440 is an abundant number, since it is smaller than the sum of its proper divisors (583346493720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196343902440 is a wasteful number, since it uses less digits than its factorization.

196343902440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44641 (or 44634 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 196343902440 in words is "one hundred ninety-six billion, three hundred forty-three million, nine hundred two thousand, four hundred forty".